Emily has 2 times as many cupcakes as Abi. The total number of Emily's and Abi's cupcakes is 4 times of Yoko's. Emily and Abi have 36 cupcakes more than Yoko's. How many less cupcakes does Yoko have than Emily?
| Emily |
Abi |
Yoko |
| 2x4 |
1x4 |
|
| 4x3 |
1x3 |
| 8 u |
4 u |
3 u |
The total number of cupcakes that Emily and Abi have is repeated. Make the total number of cupcakes that Emily and Abi have the same. LCM of 3 and 4 is 12.
Total number of cupcakes that Emily and Abi have
= 8 u + 4 u
= 12 u
Number of more cupcakes that Emily and Abi have than Yoko
= 12 u - 3 u
= 9 u
9 u = 36
1 u = 36 ÷ 9 = 4
Number of less cupcakes that Yoko has than Emily
= 8 u - 3 u
= 5 u
= 5 x 4
= 20
Answer(s): 20
